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Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: simplified

A: Please refer to the image below

Q: Given g(x) = x² + interval [6, 6 + h]. g(6 + h) - g(6) 10x + 3, find a simplified expression that…

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Q: Find a vector a with representation given by the directed → line segment AB, where A(−5, 0, 1) and…

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Q: Determine the average rate of change for the function f(x): = -1≤x≤1. a) b) c) d) - 4 3 18 3/2 x x-3…

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Q: is the hard limiter system is memory-less or memory system? y x ≥ 0 x < 0°

A: Yes, Hard limiter device is memoryless device whose output y is related to x  Given by,         {  y…

Q: EXERCISES 2.1 Find the coordinates of the focus and the equation of the directrix for each parabola.…

A: I have solved all questions step by step in detail...go through the solution

Q: 5. Evaluate a) -1 243 (27²) b) -243 c) 243 d) 243

A: 5. The given data is:  Evaluate (-127)53

Q: 25. (x + 7)(x-1) = (x + 1)²

A: rule:  a+b2=a2+2ab+b2x+12=x2+2x+1

Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

A: Given function f(x)=x(x-1)3(x+1)2 We have to find its degree. Remember : Degree of a polynomial is…

Q: Find f'(x) and f'(c). Function SILJ f(x) = sin x X Value of c C = T Im 3

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Q: Explain: e is really the limit of a sequence, and the value usually stated, 2.71828… is a numerical…

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Q: Solve 2sinx + 1 = 0 on the interval x = [0, 2π], to the nearest hundredth of a radian. a) x=210,…

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Q: Suppose f(x) = A.) f(-3) + f(5) = 3x²10x - 6. Compute the following: - wwesom B.) f(-3)-f(5) =

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Q: Factor the trinomial completely. 4s² - 22s + 10 Select the correct choice below and, if necessary,…

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Q: (c) P is the plane through p= (2, 2, 1), = (2, 1, 2) and F = (1,0, 1); Q is the plane through = (1,…

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Q: EXERCISES 2.4 Write the equation of the parabola in general form that satisfies the given…

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Q: - What is the equation of the horizontal asymptote of y = 2* — 2? a) y = 0 b) y = -2 O c) y = -1 d)…

A: Given equation y=x2-2

Q: Create a graph of a function given the following information: The instantaneous rate of change at x…

A: Given that the instantaneous rate of change at x=2 is zero. And the instantaneous rate of change at…

Q: O O -7 O-4 O -1 -11 The table shows values for f and g. What is lim (2f(x)-3g(x))? X-2 f(2)=4 g(2) =…

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Q: 11) Find the antiderivative: f -3+6√x³ √√x dx

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Q: f(x) = 2x + 3 5 -4x+9 427 4 x-6 for a 3 AMM Let f be the piecewise function defined above. Which of…

A: The given piecewise function, fx=2x+3 for x&lt;15for x=1-4x+9for 1&lt;x&lt;34for x=3x-6for x&gt;3…

Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: 8. Evaluate a) 1 729 3 (221 (9) -1) X 1 b) 1 이름 이영

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Q: 1 If f(x) = -2x2² +8x-4, find the following value. f(5)-f(-7) 5-(-7) Give answer as an integer or…

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Q: A spring whose equilibrium length is 7 m is compressed to a length of m when a force of 14 N is…

A: Concept: Spring compression is represented by∆x F is for the force applied  W is the work done…

Q: Rates of Change and Tangent Lines

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Q: X 2.3 .6 이

A: USING SIMPLE MULTIPLICATION RULE OF MATHEMATICS

Q: Find the area of the sector of a circle with radius 2 yards formed by a central angle of (T)…

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Q: 11. Determine whether the relation u²+v=7 (a) represents u as a function of v. (b) represents v as a…

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Q: 2:51 1 Search 21. lim xcscx is (A)-. 22. 23. lim 24. 25. lim (A) -4 2x² +1 (2-x)(2+x) x0X (A) 0…

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Q: -6 -5 -4 -3 256 224 192 160 128 96 64 32 -32 -64+ -96- -128 -160- -192 -224 -256- -288 -320- -352…

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Q: Algebraically evaluate the limit: x + 5 lim 2-25 22+52+ và →25

A: Let's evaluate limit.

Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: Find k if 2x + 1 is a factor of kæ³ +7x² + kx − 3. a) k = -2 b) k = 2 Ock= 11 d) none of the above

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Q: stimate the instantaneous rate of change of f(x)=logx at x= a) 0.000087 b) 0.0043 c) 2 d) 0.00043

A: Topic:- calculus

Q: function is increasing, decreasing, or constant. C 5. g(x)= x +21+|x-1|-2, 10 8 10 -8 -6 -4…

A: Given gx=x+2+x-1-2

Q: 3 2 Let f(x) = 2x²³ - 12x ² + 18x + 20 O Find the coordinates of stationary points 22 Delermine the…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim X-3 x→3 x² 9 2 STEP 1: Factor the…

A: See this solution in below

Q: For the function defined here, find f(0), ƒ(2), and f(4) by using the graph below. f(x) = 15 = x² -…

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Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be лt modeled by…

A: We have to find the radius of Ferris wheel.

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

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Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: We are allowed to solve only first 3 sub parts. kindly repost others. Thank you     Given 1. Passing…

Q: Take first and second derivatives of y = xr, y=(ax2 + bx + c)2, y=ecx, y=e-cx, y=ln(x).  In all…

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x - 3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: Which of the following can be used to estimate the instantaneous rate of change at a point on a…

A: The instantaneous rate of change at a point on a continuous function.

Q: 12 14 18 22 24 Determine the types of base functions required to create the following compound…

A: Graph of sine function is periodic and in form of waves .  Graph of sine function is -